【摘要】：給出了小剪切變形下的基樁P-Δ效應和大剪切變形下支座P-Δ效應計算的桿單元剛度矩陣方程。假定桿單元彎曲變形位移函數(shù)為三次冪函數(shù),剪切變形函數(shù)為線性函數(shù),根據(jù)有限元法一般原理,推導了一種同時計入豎向力徑向剪切分力剪切變形和水平力剪切變形的P-Δ效應桿單元剛度方程,推導了一種僅計入豎向力徑向剪切分力剪切變形而忽略水平力剪切變形的P-Δ效應桿單元剛度方程,推導了一種僅計入水平力剪切變形而忽略豎向力徑向剪切分力剪切變形的P-Δ效應桿單元剛度方程。計入水平力剪切變形而忽略豎向力徑向剪切分力剪切變形的P-Δ效應桿單元可良好的模擬支座在大剪切變形下的偏心工作特性,能實時計入其偏心彎矩影響,為實時計入支座偏心特性的結構動靜力分析提供了理論支撐。最后通過自編MATLAB程序進行算例分析,結果表明,計入支座大剪切變下的P-Δ效應后,基樁內力位移和地基土壓力均顯著增大�；鶚蹲陨砑羟凶冃螌渡韮攘ξ灰坪偷鼗翂毫τ绊戄^小,可以忽略。
[Abstract]:The stiffness matrix equations of the P螖 effect of the foundation pile under small shear deformation and the P螖 effect of the bearing under large shear deformation are given. It is assumed that the bending deformation displacement function of the rod element is a cubic power function and the shear deformation function is a linear function. According to the general principle of the finite element method, A P-螖 effect bar element stiffness equation considering both vertical force radial shear force shear deformation and horizontal force shear deformation is derived. The stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of vertical force radial shear component force and ignores the shear deformation of horizontal force. In this paper, the stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of horizontal force and ignores the shear deformation of radial shear force of vertical force. The P-螖 effect bar element, which takes into account the horizontal force shear deformation and neglects the vertical force radial shear force shear deformation, can well simulate the eccentric working characteristics of the bearing under large shear deformation, and can take into account the influence of eccentric bending moment in real time. It provides a theoretical support for the dynamic and static analysis of the structure which takes into account the eccentricity of the bearing in real time. Finally, an example is given by MATLAB program. The results show that the internal force and displacement of the foundation pile and the earth pressure of the foundation increase significantly after taking into account the P-螖 effect of the large shear deformation of the bearing. The shear deformation of the foundation pile has little effect on the internal force and displacement of the pile body and the earth pressure of the foundation, which can be ignored.
【作者單位】： 中南大學土木工程學院;中煤科工集團重慶設計研究院有限公司;
【分類號】：TU473.1

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